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Verify the identity. (Simplify 3 cos x 3 cos y sin x + sin y 3 cos x at each step.) sin x + sin y + 3 sin x-3 sin y = 0 cos x+cos y 3 cos y 3 sin x - 3 sin y = cos x+cos y = 3 cos x- 3 cos²x - 3(cos? x = 0 X[ (sin x + sin y) (cos x + cos y) + 3 sin² x 3 sin² y (sin x + sin y) (cos x + cos y) x + ) -3 (cos² y + (sin x + sin y) (cos x + cos y) + cos y) + 3 (sin x - sin y) (sin x + sin y)

Verify the identity. (Simplify 3 cos x 3 cos y sin x + sin y 3 cos x at each step.) sin x + sin y + 3 sin x-3 sin y = 0 cos x+cos y 3 cos y 3 sin x - 3 sin y = cos x+cos y = 3 cos x- 3 cos²x - 3(cos? x = 0 X[ (sin x + sin y) (cos x + cos y) + 3 sin² x 3 sin² y (sin x + sin y) (cos x + cos y) x + ) -3 (cos² y + (sin x + sin y) (cos x + cos y) + cos y) + 3 (sin x - sin y) (sin x + sin y)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 33E
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Verify the identity. (Simplify at each step.) 3 cos x - 3 cos y + sin x + sin y 3 cos x 3 cos y sin x + sin y + 3 sin x-3 sin y = 0 cos x + cos y 3 sin x cos x + cos y 3 sin y = 3 COS X - 3 cos²x - = 0 3 (cos²x+ X (sin x + sin y) (cos x + cos y) + 3 sin² x - 3 sin² y (sin x + sin y) (cos x + cos y) y) + 3 (sin x - sin y) (sin x + sin y) - 3 (cos² y + (sin x + sin y) (cos x + cos y) + cos y
Transcribed Image Text:Verify the identity. (Simplify at each step.) 3 cos x - 3 cos y + sin x + sin y 3 cos x 3 cos y sin x + sin y + 3 sin x-3 sin y = 0 cos x + cos y 3 sin x cos x + cos y 3 sin y = 3 COS X - 3 cos²x - = 0 3 (cos²x+ X (sin x + sin y) (cos x + cos y) + 3 sin² x - 3 sin² y (sin x + sin y) (cos x + cos y) y) + 3 (sin x - sin y) (sin x + sin y) - 3 (cos² y + (sin x + sin y) (cos x + cos y) + cos y
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